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Finding the Fourth Proportional to 486.16, 728.84 and 255.00

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Solution

The fourth proportional to 486.16, 728.84 and 255.00 is: 382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.16 : 728.84 = 255.00 : x
  2. Step 2: Convert to fraction form
    486.16/728.84 = 255.00/x
  3. Step 3: Cross multiply
    486.16x = 728.84 × 255.00
  4. Step 4: Simplify right side
    486.16x = 185,857.57
  5. Step 5: Solve for x
    x = 185,857.57/486.16
  6. Step 6: Final answer
    x = 382.30

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